Solving Quadratics

Using Square Roots

100

x^2=4

x=2

or x=-2

200

-5x^2=-125

x=5 or x=-5

300

3x^2+27=0

No Real Solutions

400

9(x^2+1)=9

x=0

500

9x^2=4

x=2/3 or x=-2/3

Factoring

100

x^2+7x+12=0

x=-3 or x=-4

200

5x^2-10x=0

x=0 or x=2

300

x^2-5x+4=0

x=4 or x=1

400

2x^2-9x=x^2-20

x=4 or x=5

500

2x^2+5x=3

x=1/2 or x=-3

Completing the Square

100

x^2+8x=513

x=19 or x=-27

200

x^2+6x=16

x=2 or x=-8

300

x^2+10x-24=0

x=2 or x=-12

400

x^2-14x+13=0

x=13 or x=1

500

4x^2-8x=24

x=-1.65 or x=3.65

Quadratic Formula

100

x^2+11x-26=0

x=2 or x=-13

200

4x^2+3x-8=0

x=-1.84 or x=1.09

300

2x^2-3x=20

x=-2.5 or x=4

400

-x^2+8x+4=5

x=7.87 or x=0.13

500

64x^2+12x-1

x=-0.25 or x=0.06

Discriminant

100

3x^2-9x+5=0

2 Real, Irrational Solutions

200

x^2+4x=-4

1 Real, Rational Solution

300

3x^2-2=5x

2 Real, Rational Solutions

400

x^2+7x-10=3

2 Real, Irrational Solutions

500

x^2+3=2x

2 Complex Solutions